Home / 1,311.29-1,967.16-386.90

Finding the Fourth Proportional to 1,311.29, 1,967.16 and 386.90

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Solution

The fourth proportional to 1,311.29, 1,967.16 and 386.90 is: 580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.29 : 1,967.16 = 386.90 : x
  2. Step 2: Convert to fraction form
    1,311.29/1,967.16 = 386.90/x
  3. Step 3: Cross multiply
    1,311.29x = 1,967.16 × 386.90
  4. Step 4: Simplify right side
    1,311.29x = 761,097.64
  5. Step 5: Solve for x
    x = 761,097.64/1,311.29
  6. Step 6: Final answer
    x = 580.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.